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Finding the Fourth Proportional to 14,662.34, 21,993.20 and 3,569.09

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Solution

The fourth proportional to 14,662.34, 21,993.20 and 3,569.09 is: 5,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.34 : 21,993.20 = 3,569.09 : x
  2. Step 2: Convert to fraction form
    14,662.34/21,993.20 = 3,569.09/x
  3. Step 3: Cross multiply
    14,662.34x = 21,993.20 × 3,569.09
  4. Step 4: Simplify right side
    14,662.34x = 78,495,582.38
  5. Step 5: Solve for x
    x = 78,495,582.38/14,662.34
  6. Step 6: Final answer
    x = 5,353.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.